455436768 has 96 divisors (see below), whose sum is σ = 1229630976. Its totient is φ = 147529728.

The previous prime is 455436757. The next prime is 455436781. The reversal of 455436768 is 867634554.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2419200) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870555 + ... + 871077.

It is an arithmetic number, because the mean of its divisors is an integer number (12808656).

Almost surely, 2^455436768 is an apocalyptic number.

455436768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614815488).

455436768 is an abundant number, since it is smaller than the sum of its proper divisors (774194208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455436768 is a wasteful number, since it uses less digits than its factorization.

455436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 455436768 is about 21340.9645517723. The cubic root of 455436768 is about 769.3831952547.

The spelling of 455436768 in words is "four hundred fifty-five million, four hundred thirty-six thousand, seven hundred sixty-eight".